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Finding the Third Proportional to 274,428 and 431,057

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Solution

The third proportional to 274,428 and 431,057 is: 677,081.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,428 : 431,057 = 431,057 : x
  2. Step 2: Convert to fraction form
    274,428/431,057 = 431,057/x
  3. Step 3: Cross multiply
    274,428x = 431,057 × 431,057
  4. Step 4: Simplify right side
    274,428x = 185,810,137,249
  5. Step 5: Solve for x
    x = 185,810,137,249/274,428
  6. Step 6: Final answer
    x = 677,081.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.